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<h1 class="epydoc">Source Code for <a href="peach.fuzzy.cmeans-module.html">Module peach.fuzzy.cmeans</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"># Peach - Computational Intelligence for Python</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"># Jose Alexandre Nalon</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"># This file: fuzzy/cmeans.py</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"># Fuzzy C-Means algorithm</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment"># Doc string, reStructuredText formatted:</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt id="link-0" class="py-name" targets="Variable peach.__doc__=peach-module.html#__doc__,Variable peach.fuzzy.__doc__=peach.fuzzy-module.html#__doc__,Variable peach.fuzzy.base.__doc__=peach.fuzzy.base-module.html#__doc__,Variable peach.fuzzy.cmeans.__doc__=peach.fuzzy.cmeans-module.html#__doc__,Variable peach.fuzzy.control.__doc__=peach.fuzzy.control-module.html#__doc__,Variable peach.fuzzy.defuzzy.__doc__=peach.fuzzy.defuzzy-module.html#__doc__,Variable peach.fuzzy.mf.__doc__=peach.fuzzy.mf-module.html#__doc__,Variable peach.fuzzy.norms.__doc__=peach.fuzzy.norms-module.html#__doc__,Variable peach.ga.__doc__=peach.ga-module.html#__doc__,Variable peach.ga.base.__doc__=peach.ga.base-module.html#__doc__,Variable peach.ga.chromosome.__doc__=peach.ga.chromosome-module.html#__doc__,Variable peach.ga.crossover.__doc__=peach.ga.crossover-module.html#__doc__,Variable peach.ga.fitness.__doc__=peach.ga.fitness-module.html#__doc__,Variable peach.ga.mutation.__doc__=peach.ga.mutation-module.html#__doc__,Variable peach.ga.selection.__doc__=peach.ga.selection-module.html#__doc__,Variable peach.nn.__doc__=peach.nn-module.html#__doc__,Variable peach.nn.af.__doc__=peach.nn.af-module.html#__doc__,Variable peach.nn.base.__doc__=peach.nn.base-module.html#__doc__,Variable peach.nn.kmeans.__doc__=peach.nn.kmeans-module.html#__doc__,Variable peach.nn.lrules.__doc__=peach.nn.lrules-module.html#__doc__,Variable peach.nn.mem.__doc__=peach.nn.mem-module.html#__doc__,Variable peach.nn.nnet.__doc__=peach.nn.nnet-module.html#__doc__,Variable peach.nn.rbfn.__doc__=peach.nn.rbfn-module.html#__doc__,Variable peach.optm.__doc__=peach.optm-module.html#__doc__,Variable peach.optm.base.__doc__=peach.optm.base-module.html#__doc__,Variable peach.optm.linear.__doc__=peach.optm.linear-module.html#__doc__,Variable peach.optm.multivar.__doc__=peach.optm.multivar-module.html#__doc__,Variable peach.optm.quasinewton.__doc__=peach.optm.quasinewton-module.html#__doc__,Variable peach.optm.stochastic.__doc__=peach.optm.stochastic-module.html#__doc__,Variable peach.pso.__doc__=peach.pso-module.html#__doc__,Variable peach.pso.acc.__doc__=peach.pso.acc-module.html#__doc__,Variable peach.pso.base.__doc__=peach.pso.base-module.html#__doc__,Variable peach.sa.__doc__=peach.sa-module.html#__doc__,Variable peach.sa.base.__doc__=peach.sa.base-module.html#__doc__,Variable peach.sa.neighbor.__doc__=peach.sa.neighbor-module.html#__doc__"><a title="peach.__doc__
peach.fuzzy.__doc__
peach.fuzzy.base.__doc__
peach.fuzzy.cmeans.__doc__
peach.fuzzy.control.__doc__
peach.fuzzy.defuzzy.__doc__
peach.fuzzy.mf.__doc__
peach.fuzzy.norms.__doc__
peach.ga.__doc__
peach.ga.base.__doc__
peach.ga.chromosome.__doc__
peach.ga.crossover.__doc__
peach.ga.fitness.__doc__
peach.ga.mutation.__doc__
peach.ga.selection.__doc__
peach.nn.__doc__
peach.nn.af.__doc__
peach.nn.base.__doc__
peach.nn.kmeans.__doc__
peach.nn.lrules.__doc__
peach.nn.mem.__doc__
peach.nn.nnet.__doc__
peach.nn.rbfn.__doc__
peach.optm.__doc__
peach.optm.base.__doc__
peach.optm.linear.__doc__
peach.optm.multivar.__doc__
peach.optm.quasinewton.__doc__
peach.optm.stochastic.__doc__
peach.pso.__doc__
peach.pso.acc.__doc__
peach.pso.base.__doc__
peach.sa.__doc__
peach.sa.base.__doc__
peach.sa.neighbor.__doc__" class="py-name" href="#" onclick="return doclink('link-0', '__doc__', 'link-0');">__doc__</a></tt> <tt class="py-op">=</tt> <tt class="py-docstring">"""</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">Fuzzy C-Means</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">Fuzzy C-Means is a clustering algorithm based on fuzzy logic.</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">This package implements the fuzzy c-means algorithm for clustering and</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">classification. This algorithm is very simple, yet very efficient. From a</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring">training set and an initial condition which gives the membership values of each</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring">example in the training set to the clusters, it converges very fastly to crisper</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">sets.</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">The initial conditions, ie, the starting membership, must follow some rules.</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">Please, refer to any bibliography about the subject to see why. Those rules are:</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring">no example might have membership 1 in every class, and the sum of the membership</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring">of every component must be equal to 1. This means that the initial condition is</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">a fuzzy partition of the universe.</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">numpy</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">dot</tt><tt class="py-op">,</tt> <tt class="py-name">array</tt><tt class="py-op">,</tt> <tt class="py-name">sum</tt><tt class="py-op">,</tt> <tt class="py-name">zeros</tt><tt class="py-op">,</tt> <tt class="py-name">outer</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-comment"># Fuzzy C-Means class</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="FuzzyCMeans"></a><div id="FuzzyCMeans-def"><a name="L37"></a><tt class="py-lineno"> 37</tt> <a class="py-toggle" href="#" id="FuzzyCMeans-toggle" onclick="return toggle('FuzzyCMeans');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html">FuzzyCMeans</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="FuzzyCMeans-expanded"><a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-docstring">    Fuzzy C-Means convergence.</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"><tt class="py-docstring">    Use this class to instantiate a fuzzy c-means object. The object must be</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"><tt class="py-docstring">    given a training set and initial conditions. The training set is a list or</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-docstring">    an array of N-dimensional vectors; the initial conditions are a list of the</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-docstring">    initial membership values for every vector in the training set -- thus, the</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-docstring">    length of both lists must be the same. The number of columns in the initial</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-docstring">    conditions must be the same number of classes. That is, if you are, for</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-docstring">    example, classifying in ``C`` classes, then the initial conditions must have</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring">    ``C`` columns.</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring">    There are restrictions in the initial conditions: first, no column can be</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">    all zeros or all ones -- if that happened, then the class described by this</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-docstring">    column is unnecessary; second, the sum of the memberships of every example</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-docstring">    must be one -- that is, the sum of the membership in every column in each</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"><tt class="py-docstring">    line must be one. This means that the initial condition is a perfect</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"><tt class="py-docstring">    partition of ``C`` subsets.</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring">    Notice, however, that *no checking* is done. If your algorithm seems to be</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">    behaving strangely, try to check these conditions.</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="FuzzyCMeans.__init__"></a><div id="FuzzyCMeans.__init__-def"><a name="L60"></a><tt class="py-lineno"> 60</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__init__-toggle" onclick="return toggle('FuzzyCMeans.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">training_set</tt><tt class="py-op">,</tt> <tt class="py-param">initial_conditions</tt><tt class="py-op">,</tt> <tt class="py-param">m</tt><tt class="py-op">=</tt><tt class="py-number">2.</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__init__-expanded"><a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the algorithm.</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">          training_set</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">            A list or array of vectors containing the data to be classified.</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring">            Each of the vectors in this list *must* have the same dimension, or</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">            the algorithm won't behave correctly. Notice that each vector can be</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">            given as a tuple -- internally, everything is converted to arrays.</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">          initial_conditions</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-docstring">            A list or array of vectors containing the initial membership values</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"><tt class="py-docstring">            associated to each example in the training set. Each column of this</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line"><tt class="py-docstring">            array contains the membership assigned to the corresponding class</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line"><tt class="py-docstring">            for that vector. Notice that each vector can be given as a tuple --</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line"><tt class="py-docstring">            internally, everything is converted to arrays.</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"><tt class="py-docstring">          m</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"><tt class="py-docstring">            This is the aggregation value. The bigger it is, the smoother will</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"><tt class="py-docstring">            be the classification. Please, consult the bibliography about the</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line"><tt class="py-docstring">            subject. ``m`` must be bigger than 1. Its default value is 2</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">training_set</tt><tt class="py-op">)</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">initial_conditions</tt><tt class="py-op">)</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">m</tt> <tt class="py-op">=</tt> <tt class="py-name">m</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">        <tt class="py-string">'''The fuzzyness coefficient. Must be bigger than 1, the closest it is</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"><tt class="py-string">        to 1, the smoother the membership curves will be.'''</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-1" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.centers()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#centers"><a title="peach.fuzzy.cmeans.FuzzyCMeans.centers" class="py-name" href="#" onclick="return doclink('link-1', 'centers', 'link-1');">centers</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
</div><a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.__getc"></a><div id="FuzzyCMeans.__getc-def"><a name="L88"></a><tt class="py-lineno"> 88</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__getc-toggle" onclick="return toggle('FuzzyCMeans.__getc');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getc">__getc</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__getc-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__getc-expanded"><a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> </tt>
</div><a name="FuzzyCMeans.__setc"></a><div id="FuzzyCMeans.__setc-def"><a name="L90"></a><tt class="py-lineno"> 90</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__setc-toggle" onclick="return toggle('FuzzyCMeans.__setc');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__setc">__setc</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">c</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__setc-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__setc-expanded"><a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-name">reshape</tt><tt class="py-op">(</tt><tt id="link-2" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.c=peach.fuzzy.cmeans.FuzzyCMeans-class.html#c,Variable peach.nn.kmeans.KMeans.c=peach.nn.kmeans.KMeans-class.html#c"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-2', 'c', 'link-2');">c</a></tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt><tt class="py-op">.</tt><tt id="link-3" class="py-name" targets="Variable peach.nn.base.Layer.shape=peach.nn.base.Layer-class.html#shape"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-3', 'shape', 'link-3');">shape</a></tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">    <tt id="link-4" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-4', 'c', 'link-2');">c</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-5" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.__getc()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getc,Method peach.nn.kmeans.KMeans.__getc()=peach.nn.kmeans.KMeans-class.html#__getc"><a title="peach.fuzzy.cmeans.FuzzyCMeans.__getc
peach.nn.kmeans.KMeans.__getc" class="py-name" href="#" onclick="return doclink('link-5', '__getc', 'link-5');">__getc</a></tt><tt class="py-op">,</tt> <tt id="link-6" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.__setc()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#__setc,Method peach.nn.kmeans.KMeans.__setc()=peach.nn.kmeans.KMeans-class.html#__setc"><a title="peach.fuzzy.cmeans.FuzzyCMeans.__setc
peach.nn.kmeans.KMeans.__setc" class="py-name" href="#" onclick="return doclink('link-6', '__setc', 'link-6');">__setc</a></tt><tt class="py-op">)</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">    <tt class="py-string">'''A ``numpy`` array containing the centers of the classes in the algorithm.</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line"><tt class="py-string">    Each line represents a center, and the number of lines is the number of</tt> </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line"><tt class="py-string">    classes. This property is read and write, but care must be taken when</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"><tt class="py-string">    setting new centers: if the dimensions are not exactly the same as given in</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line"><tt class="py-string">    the instantiation of the class (*ie*, *C* centers of dimension *N*, an</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-string">    exception will be raised.'''</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.__getmu"></a><div id="FuzzyCMeans.__getmu-def"><a name="L100"></a><tt class="py-lineno">100</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__getmu-toggle" onclick="return toggle('FuzzyCMeans.__getmu');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getmu">__getmu</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__getmu-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__getmu-expanded"><a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> </tt>
</div><a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">    <tt id="link-7" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.mu=peach.fuzzy.cmeans.FuzzyCMeans-class.html#mu"><a title="peach.fuzzy.cmeans.FuzzyCMeans.mu" class="py-name" href="#" onclick="return doclink('link-7', 'mu', 'link-7');">mu</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-8" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.__getmu()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getmu"><a title="peach.fuzzy.cmeans.FuzzyCMeans.__getmu" class="py-name" href="#" onclick="return doclink('link-8', '__getmu', 'link-8');">__getmu</a></tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">    <tt class="py-string">'''The membership values for every vector in the training set. This property</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-string">    is modified at each step of the execution of the algorithm. This property is</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-string">    not writable.'''</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.__getx"></a><div id="FuzzyCMeans.__getx-def"><a name="L107"></a><tt class="py-lineno">107</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__getx-toggle" onclick="return toggle('FuzzyCMeans.__getx');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getx">__getx</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__getx-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__getx-expanded"><a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x</tt> </tt>
</div><a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt id="link-9" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.x=peach.fuzzy.cmeans.FuzzyCMeans-class.html#x,Variable peach.optm.linear.Direct1D.x=peach.optm.linear.Direct1D-class.html#x,Variable peach.optm.linear.GoldenRule.x=peach.optm.linear.GoldenRule-class.html#x,Variable peach.optm.linear.Interpolation.x=peach.optm.linear.Interpolation-class.html#x,Variable peach.optm.multivar.Direct.x=peach.optm.multivar.Direct-class.html#x,Variable peach.optm.multivar.Gradient.x=peach.optm.multivar.Gradient-class.html#x,Variable peach.optm.multivar.MomentumGradient.x=peach.optm.multivar.MomentumGradient-class.html#x,Variable peach.optm.multivar.Newton.x=peach.optm.multivar.Newton-class.html#x,Variable peach.optm.quasinewton.DFP.x=peach.optm.quasinewton.DFP-class.html#x,Variable peach.optm.quasinewton.SR1.x=peach.optm.quasinewton.SR1-class.html#x,Variable peach.sa.base.BinarySA.x=peach.sa.base.BinarySA-class.html#x,Variable peach.sa.base.ContinuousSA.x=peach.sa.base.ContinuousSA-class.html#x"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-9', 'x', 'link-9');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">property</tt><tt class="py-op">(</tt><tt id="link-10" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.__getx()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#__getx"><a title="peach.fuzzy.cmeans.FuzzyCMeans.__getx" class="py-name" href="#" onclick="return doclink('link-10', '__getx', 'link-10');">__getx</a></tt><tt class="py-op">,</tt> <tt class="py-name">None</tt><tt class="py-op">)</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">    <tt class="py-string">'''The vectors in which the algorithm bases its convergence. This property</tt> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"><tt class="py-string">    is not writable.'''</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.centers"></a><div id="FuzzyCMeans.centers-def"><a name="L113"></a><tt class="py-lineno">113</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.centers-toggle" onclick="return toggle('FuzzyCMeans.centers');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#centers">centers</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.centers-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.centers-expanded"><a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring">        Given the present state of the algorithm, recalculates the centers, that</tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">        is, the position of the vectors representing each of the classes. Notice</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring">        that this method modifies the state of the algorithm if any change was</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">        made to any parameter. This method receives no arguments and will seldom</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">        be used externally. It can be useful if you want to step over the</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">        algorithm. *This method has a colateral effect!* If you use it, the</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">        ``c`` property (see above) will be modified.</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">          A vector containing, in each line, the position of the centers of the</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring">          algorithm.</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line">        <tt class="py-name">mm</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> <tt class="py-op">**</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">m</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">        <tt id="link-11" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-11', 'c', 'link-2');">c</a></tt> <tt class="py-op">=</tt> <tt class="py-name">dot</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x</tt><tt class="py-op">.</tt><tt class="py-name">transpose</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-name">mm</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-name">mm</tt><tt class="py-op">,</tt> <tt class="py-name">axis</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> <tt class="py-op">=</tt> <tt id="link-12" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-12', 'c', 'link-2');">c</a></tt><tt class="py-op">.</tt><tt class="py-name">transpose</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> </tt>
</div><a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.membership"></a><div id="FuzzyCMeans.membership-def"><a name="L132"></a><tt class="py-lineno">132</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.membership-toggle" onclick="return toggle('FuzzyCMeans.membership');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#membership">membership</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.membership-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.membership-expanded"><a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"><tt class="py-docstring">        Given the present state of the algorithm, recalculates the membership of</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring">        each example on each class. That is, it modifies the initial conditions</tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring">        to represent an evolved state of the algorithm. Notice that this method</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring">        modifies the state of the algorithm if any change was made to any</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">        parameter.</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line"><tt class="py-docstring">          A vector containing, in each line, the membership of the corresponding</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line"><tt class="py-docstring">          example in each class.</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line">        <tt id="link-13" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-13', 'x', 'link-9');">x</a></tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line">        <tt id="link-14" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-14', 'c', 'link-2');">c</a></tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__c</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line">        <tt class="py-name">M</tt><tt class="py-op">,</tt> <tt class="py-name">_</tt> <tt class="py-op">=</tt> <tt id="link-15" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-15', 'x', 'link-9');">x</a></tt><tt class="py-op">.</tt><tt id="link-16" class="py-name"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-16', 'shape', 'link-3');">shape</a></tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line">        <tt class="py-name">C</tt><tt class="py-op">,</tt> <tt class="py-name">_</tt> <tt class="py-op">=</tt> <tt id="link-17" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-17', 'c', 'link-2');">c</a></tt><tt class="py-op">.</tt><tt id="link-18" class="py-name"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-18', 'shape', 'link-3');">shape</a></tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">        <tt class="py-name">r</tt> <tt class="py-op">=</tt> <tt class="py-name">zeros</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt class="py-name">M</tt><tt class="py-op">,</tt> <tt class="py-name">C</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line">        <tt class="py-name">m1</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">m</tt><tt class="py-op">-</tt><tt class="py-number">1.</tt><tt class="py-op">)</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line">        <tt class="py-keyword">for</tt> <tt class="py-name">k</tt> <tt class="py-keyword">in</tt> <tt class="py-name">range</tt><tt class="py-op">(</tt><tt class="py-name">M</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">            <tt class="py-name">den</tt> <tt class="py-op">=</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-op">(</tt><tt id="link-19" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-19', 'x', 'link-9');">x</a></tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">]</tt> <tt class="py-op">-</tt> <tt id="link-20" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-20', 'c', 'link-2');">c</a></tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2.</tt><tt class="py-op">,</tt> <tt class="py-name">axis</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">            <tt class="py-name">frac</tt> <tt class="py-op">=</tt> <tt class="py-name">outer</tt><tt class="py-op">(</tt><tt class="py-name">den</tt><tt class="py-op">,</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">den</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-name">m1</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">            <tt class="py-name">r</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">,</tt> <tt class="py-op">:</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">/</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-name">frac</tt><tt class="py-op">,</tt> <tt class="py-name">axis</tt><tt class="py-op">=</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> <tt class="py-op">=</tt> <tt class="py-name">r</tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> </tt>
</div><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.step"></a><div id="FuzzyCMeans.step-def"><a name="L157"></a><tt class="py-lineno">157</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.step-toggle" onclick="return toggle('FuzzyCMeans.step');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#step">step</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.step-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.step-expanded"><a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring">        This method runs one step of the algorithm. It might be useful to track</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        the changes in the parameters.</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring">          The norm of the change in the membership values of the examples. It</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">          can be used to track convergence and as an estimate of the error.</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line">        <tt class="py-name">old</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-21" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.membership()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#membership"><a title="peach.fuzzy.cmeans.FuzzyCMeans.membership" class="py-name" href="#" onclick="return doclink('link-21', 'membership', 'link-21');">membership</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-22" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.centers" class="py-name" href="#" onclick="return doclink('link-22', 'centers', 'link-1');">centers</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">sum</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__mu</tt> <tt class="py-op">-</tt> <tt class="py-name">old</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2.</tt> </tt>
</div><a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line"> </tt>
<a name="FuzzyCMeans.__call__"></a><div id="FuzzyCMeans.__call__-def"><a name="L171"></a><tt class="py-lineno">171</tt> <a class="py-toggle" href="#" id="FuzzyCMeans.__call__-toggle" onclick="return toggle('FuzzyCMeans.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.fuzzy.cmeans.FuzzyCMeans-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">emax</tt><tt class="py-op">=</tt><tt class="py-number">1.e-10</tt><tt class="py-op">,</tt> <tt class="py-param">imax</tt><tt class="py-op">=</tt><tt class="py-number">20</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="FuzzyCMeans.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="FuzzyCMeans.__call__-expanded"><a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line"><tt class="py-docstring">        The ``__call__`` interface is used to run the algorithm until</tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">        convergence is found.</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">          emax</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">            Specifies the maximum error admitted in the execution of the</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">            algorithm. It defaults to 1.e-10. The error is tracked according to</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">            the norm returned by the ``step()`` method.</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring">          imax</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring">            Specifies the maximum number of iterations admitted in the execution</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line"><tt class="py-docstring">            of the algorithm. It defaults to 20.</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-docstring">          An array containing, at each line, the vectors representing the</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line"><tt class="py-docstring">          centers of the clustered regions.</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">        <tt class="py-name">error</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">        <tt class="py-name">i</tt> <tt class="py-op">=</tt> <tt class="py-number">0</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">        <tt class="py-keyword">while</tt> <tt class="py-name">error</tt> <tt class="py-op">&gt;</tt> <tt class="py-name">emax</tt> <tt class="py-keyword">and</tt> <tt class="py-name">i</tt> <tt class="py-op">&lt;</tt> <tt class="py-name">imax</tt><tt class="py-op">:</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line">            <tt class="py-name">error</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-23" class="py-name" targets="Method peach.fuzzy.cmeans.FuzzyCMeans.step()=peach.fuzzy.cmeans.FuzzyCMeans-class.html#step,Method peach.ga.base.GeneticAlgorithm.step()=peach.ga.base.GeneticAlgorithm-class.html#step,Method peach.nn.kmeans.KMeans.step()=peach.nn.kmeans.KMeans-class.html#step,Method peach.nn.mem.Hopfield.step()=peach.nn.mem.Hopfield-class.html#step,Method peach.optm.base.Optimizer.step()=peach.optm.base.Optimizer-class.html#step,Method peach.optm.linear.Direct1D.step()=peach.optm.linear.Direct1D-class.html#step,Method peach.optm.linear.Fibonacci.step()=peach.optm.linear.Fibonacci-class.html#step,Method peach.optm.linear.GoldenRule.step()=peach.optm.linear.GoldenRule-class.html#step,Method peach.optm.linear.Interpolation.step()=peach.optm.linear.Interpolation-class.html#step,Method peach.optm.multivar.Direct.step()=peach.optm.multivar.Direct-class.html#step,Method peach.optm.multivar.Gradient.step()=peach.optm.multivar.Gradient-class.html#step,Method peach.optm.multivar.MomentumGradient.step()=peach.optm.multivar.MomentumGradient-class.html#step,Method peach.optm.multivar.Newton.step()=peach.optm.multivar.Newton-class.html#step,Method peach.optm.quasinewton.BFGS.step()=peach.optm.quasinewton.BFGS-class.html#step,Method peach.optm.quasinewton.DFP.step()=peach.optm.quasinewton.DFP-class.html#step,Method peach.optm.quasinewton.SR1.step()=peach.optm.quasinewton.SR1-class.html#step,Method peach.optm.stochastic.CrossEntropy.step()=peach.optm.stochastic.CrossEntropy-class.html#step,Method peach.pso.base.ParticleSwarmOptimizer.step()=peach.pso.base.ParticleSwarmOptimizer-class.html#step,Method peach.sa.base.BinarySA.step()=peach.sa.base.BinarySA-class.html#step,Method peach.sa.base.ContinuousSA.step()=peach.sa.base.ContinuousSA-class.html#step"><a title="peach.fuzzy.cmeans.FuzzyCMeans.step
peach.ga.base.GeneticAlgorithm.step
peach.nn.kmeans.KMeans.step
peach.nn.mem.Hopfield.step
peach.optm.base.Optimizer.step
peach.optm.linear.Direct1D.step
peach.optm.linear.Fibonacci.step
peach.optm.linear.GoldenRule.step
peach.optm.linear.Interpolation.step
peach.optm.multivar.Direct.step
peach.optm.multivar.Gradient.step
peach.optm.multivar.MomentumGradient.step
peach.optm.multivar.Newton.step
peach.optm.quasinewton.BFGS.step
peach.optm.quasinewton.DFP.step
peach.optm.quasinewton.SR1.step
peach.optm.stochastic.CrossEntropy.step
peach.pso.base.ParticleSwarmOptimizer.step
peach.sa.base.BinarySA.step
peach.sa.base.ContinuousSA.step" class="py-name" href="#" onclick="return doclink('link-23', 'step', 'link-23');">step</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">            <tt class="py-name">i</tt> <tt class="py-op">=</tt> <tt class="py-name">i</tt> <tt class="py-op">+</tt> <tt class="py-number">1</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-24" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.c
peach.nn.kmeans.KMeans.c" class="py-name" href="#" onclick="return doclink('link-24', 'c', 'link-2');">c</a></tt> </tt>
</div></div><a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line"> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line"> </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line"><tt class="py-comment"># Test.</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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